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Record Nr. |
UNINA9910453032903321 |
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Autore |
Kaniuth Eberhard |
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Titolo |
Induced representations of locally compact groups / / Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2013 |
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ISBN |
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1-107-23320-8 |
1-139-04539-3 |
1-139-85355-4 |
1-139-84559-4 |
1-139-84446-6 |
1-139-83972-1 |
1-139-84210-2 |
1-283-74656-5 |
1-139-84091-6 |
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Descrizione fisica |
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1 online resource (xiii, 343 pages) : digital, PDF file(s) |
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Collana |
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Cambridge tracts in mathematics ; ; 197 |
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Disciplina |
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Soggetti |
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Locally compact groups |
Topological spaces |
Representations of groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Basics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications. |
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Sommario/riassunto |
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The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a |
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